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Finding the Fourth Proportional to 3,767.72, 5,651.76 and 1,170.32

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Solution

The fourth proportional to 3,767.72, 5,651.76 and 1,170.32 is: 1,755.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.72 : 5,651.76 = 1,170.32 : x
  2. Step 2: Convert to fraction form
    3,767.72/5,651.76 = 1,170.32/x
  3. Step 3: Cross multiply
    3,767.72x = 5,651.76 × 1,170.32
  4. Step 4: Simplify right side
    3,767.72x = 6,614,367.76
  5. Step 5: Solve for x
    x = 6,614,367.76/3,767.72
  6. Step 6: Final answer
    x = 1,755.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.